Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57960bj |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-1217388826080000 = -1 · 28 · 39 · 54 · 75 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19548,-1308204] |
[a1,a2,a3,a4,a6] |
Generators |
[132:-1890:1] |
Generators of the group modulo torsion |
j |
163945479168/241600625 |
j-invariant |
L |
7.0337099832543 |
L(r)(E,1)/r! |
Ω |
0.25742815232039 |
Real period |
R |
0.3415375280279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115920h1 57960b1 |
Quadratic twists by: -4 -3 |